The short answer is No. If it's not in the aircraft then it can't be tested upon. Same goes for GPS approaches. If it's there you can be asked to use it!
The PTS (Practical test standards) require a precision approach and a non-precision approach. The non precision could be ANY approach which doesn't provide vertical guidance so therefore could just be a VOR or a localiser approach.
The PTS also requires an "approach with loss of primary flight instrument indicators" ie partial panel as it is generally referred to in the JAA world.